Problem 1 : 10 pts

Part (a) : 5 pts

Minor error -1 pt

Wrong answer with weak proof -4 pts

Wrogn answer with wrong approach -5 pts

Right answer with weak proof -2 pts

Part (b) : 5 pts

Minor error -1 pt

Wrong answer with weak proof -4 pts

Wrogn answer with wrong approach -5 pts

Right answer with weak proof -2 pts

Problem 3 : 10 pts

Completely wrong with some work -8 pts

Wrong E1 -3 pts

Wrong E2 -3 pts

Wrong L -4 pts

Minor error -1 pt

Problem  4 : 8 pts

Minor error -1 pt

Completely wrong with some work -6 pts

Not using cofactor to get inv(A) -4 pts

Wrong C (cofactor matrix) -3 pts

Wrong inv(A) -3 pts

Wrong det(A) -2pts

Problem 5 : 8 pts

Wrong A as an input -1 pt

Wrong rref -2 pts

Not extracting from B -2 pts

Wrong solution -2 pts

Problem 6 : 12 pts

No 4*4 case -3 pts

No 5*5 case -3 pts

Wrong proof -6 pts ( not mentioning generalized column/row to prove. ex. jth col/row)

Weak proof -3 pts